id:A163308 - OEIS Search Results

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a(n) = 16*a(n-1)-59*a(n-2) for n > 1; a(0) = 1, a(1) = 9.

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1, 9, 85, 829, 8249, 83073, 842477, 8578325, 87547057, 894631737, 9148831429, 93598030381, 957787431785, 9802315116081, 100327583381981, 1026904742262917, 10511148456669793, 107590995513204585 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Binomial transform of A163307. Inverse binomial transform of A163309.`
	FORMULA	`a(n) = ((5+sqrt(5))(8+sqrt(5))^n+(5-sqrt(5))(8-sqrt(5))^n)/10.` `G.f.: (1-7x)/(1-16x+59*x^2).`
	PROGRAM	`(MAGMA) [ n le 2 select 8n-7 else 16Self(n-1)-59*Self(n-2): n in [1..18] ];`
	CROSSREFS	`Cf. A163307, A163309.` `Sequence in context: A024118 A166902 A015580 this_sequence A160112 A108427 A152106` `Adjacent sequences: A163305 A163306 A163307 this_sequence A163309 A163310 A163311`
	KEYWORD	`nonn`
	AUTHOR	`Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Jul 24 2009`

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Last modified December 20 16:54 EST 2009. Contains 171081 sequences.

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